| Description |
1 online resource (401 pages) |
| Contents |
Cover; Half Title; Title Page; Copyright Page; Contents; Preface; CHAPTER 1: Relativity: A theory of space, time, and gravity; 1.1 THE PRINCIPLE OF RELATIVITY TO VANQUISH COORDINATES, TRANSCEND THEM; 1.2 THE LAW OF INERTIA: FOUNDATION OF SPECIAL RELATIVITY; 1.3 SPACE, TIME, AND SPACETIME; 1.4 SPACETIME DIAGRAMS; 1.5 RELATIVITY OF CAUSALITY: SPACELIKE AND TIMELIKE; 1.6 SEGUE TO GENERAL RELATIVITY: NONINERTIAL FRAMES; 1.7 GENERAL RELATIVITY: A THEORY OF GRAVITATION; 1.8 HASTA LA VISTA, GRAVITY; CHAPTER 2: Basic special relativity; 2.1 COMPARISON OF TIME INTERVALS: THE BONDI K-FACTOR |
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2.2 TIME DILATION2.3 VELOCITY ADDITION; 2.4 LORENTZ TRANSFORMATION; 2.5 LENGTH CONTRACTION; 2.6 FOUNDATIONAL EXPERIMENTS; CHAPTER 3: Lorentz transformation, I; 3.1 FRAMES IN STANDARD CONFIGURATION; 3.2 FRAMES NOT IN STANDARD CONFIGURATION; 3.3 TRANSFORMATION OF VELOCITY AND ACCELERATION; 3.4 RELATIVISTIC ABERRATION AND DOPPLER EFFECT; CHAPTER 4: Geometry of Lorentz invariance; 4.1 LORENTZ TRANSFORMATIONS AS SPACETIME ROTATIONS; 4.2 KINEMATIC EFFECTS FROM THE INVARIANT HYPERBOLA; 4.3 CLASSIFICATION OF LORENTZ TRANSFORMATIONS; 4.4 SPACETIME GEOMETRY AND CAUSALITY |
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CHAPTER 5: Tensors on flat spaces5.1 TRANSFORMATION PROPERTIES; 5.2 TENSOR DENSITIES, INVARIANT VOLUME ELEMENT; 5.3 DERIVATIVES OF TENSORS AND THE FOUR-WAVEVECTOR; 5.4 INTERLUDE: DRAW A LINE HERE; 5.5 TENSORS AS MULTILINEAR MAPPINGS; 5.6 METRIC TENSOR REVISITED; 5.7 SYMMETRY OPERATIONS ON TENSORS; 5.8 LEVI-CIVITA TENSOR AND DETERMINANTS; 5.9 PSEUDOTENSORS; 5.10 TOTALLY ANTISYMMETRIC TENSORS; 5.11 INTEGRATION ON MINKOWSKI SPACE; 5.12 THE GHOST OF TENSORS YET TO COME; CHAPTER 6: Lorentz transformation, II; 6.1 DECOMPOSITION INTO ROTATIONS AND BOOSTS; 6.2 INFINITESIMAL LORENTZ TRANSFORMATION |
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6.3 SPINOR REPRESENTATION OF LORENTZ TRANSFORMATIONS6.4 THOMAS-WIGNER ROTATION; CHAPTER 7: Particle dynamics; 7.1 PROPER TIME, FOUR-VELOCITY, AND FOUR-ACCELERATION; 7.2 THE ENERGY-MOMENTUM FOUR-VECTOR; 7.3 ACTION PRINCIPLE FOR PARTICLES; 7.4 KEPLER PROBLEM IN SPECIAL RELATIVITY; 7.5 COVARIANT EULER-LAGRANGE EQUATION; 7.6 PARTICLE CONSERVATION LAWS; 7.7 ENERGY-MOMENTUM CONSERVATION; CHAPTER 8: Covariant electrodynamics; 8.1 ELECTROMAGNETISM IN SPACE AND TIME; 8.2 SOURCES IN SPACETIME: THE FOUR-CURRENT; 8.3 CONSERVATION IN SPACETIME: SPACELIKE HYPERSURFACES; 8.4 THE FOUR-POTENTIAL |
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8.5 MAXWELL EQUATIONS IN COVARIANT FORM: FIELD TENSOR8.6 LORENTZ TRANSFORMATION OF E AND B FIELDS; 8.7 LORENTZ FORCE AS A RELATIVISTIC EFFECT; 8.8 INVARIANTS OF THE ELECTROMAGNETIC FIELD; 8.9 ACTION PRINCIPLE FOR CHARGED PARTICLES; 8.10 GAUGE INVARIANCE AND CHARGE CONSERVATION; CHAPTER 9: Energy-momentum of fields; 9.1 SYMMETRIES AND CONSERVATION LAWS; 9.2 SPACETIME HOMOGENEITY: ENERGY-MOMENTUM TENSOR; 9.3 SPACETIME ISOTROPY: ANGULAR MOMENTUM TENSOR; 9.4 SYMMETRIC ENERGY-MOMENTUM TENSOR; 9.5 THE ELECTROMAGNETIC FIELD; CHAPTER 10: Relativistic hydrodynamics; 10.1 NONRELATIVISTIC HYDRODYNAMICS |
| Summary |
This book provides an accessible, yet thorough, introduction to special and general relativity, crafted and class-tested over many years of teaching. Suitable for advanced undergraduate and graduate students, this book provides clear descriptions of how to approach the mathematics and physics involved. It is also contains the latest exciting developments in the field, including dark energy, gravitational waves, and frame dragging. The table of contents has been carefully developed in consultation with a large number of instructors teaching courses worldwide, to ensure its wide applicability to modules on relativity and gravitation. Features: A clear, accessible writing style, presenting a sophisticated approach to the subject, that remains suitable for advanced undergraduate students and above Class-tested over many years To be accompanied by a partner volume on 'Advanced Topics' forstudents to further extend their learning |
| Notes |
10.2 ENERGY-MOMENTUM TENSOR FOR PERFECT FLUIDS |
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Print version record |
| Subject |
Relativity (Physics) -- Textbooks
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General relativity (Physics) -- Textbooks
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Special relativity (Physics) -- Textbooks
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General relativity (Physics)
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SCIENCE -- Astrophysics & Space Science.
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General relativity.
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Gravitation.
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Gravity.
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Introduction to relativity.
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Introduction to gravitation.
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Special relativity.
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General relativity (Physics)
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Relativity (Physics)
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Special relativity (Physics)
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| Genre/Form |
Textbooks
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| Form |
Electronic book
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| ISBN |
9780429659539 |
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0429659539 |
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